Notice bibliographique
Résumé
This dissertation deals with a study of ferromagnetic fluids as a polarizable media with couple stress. Ferromagnetic fluids are artificially synthesized for their applications and can be thought of as liquid magnets. They are stable suspensions of very small mono-domain magnetic particles in a liquid medium. They display very strong magnetic response while retaining their fluid structure. The purpose of this dissertation is to provide a mathematical description of ferromagnetic fluids and study some flow and stability problems. This dissertation contains two parts. The first part takes a theoretical look by modeling ferromagnetic fluids as a continuum and by studying uniqueness and stability of ferrohydrodynamic motions. As the suspended particles rotate independently of the medium under an applied magnetic field, the stress is not symmetric and the medium is anisotropic through magnetization. It is shown that under appropriate limiting cases of this model one can obtain some popular models used in the literature. The various models that describe the magnetization relaxation phenomenon are analyzed. Asymptotic stability and uniqueness of ferrohydrodynamic motion are studied using an energy method. Sufficiency conditions for the system to be asymptotically stable under an arbitrary disturbance are obtained in terms of bounds for the Reynolds number. Conditions on uniqueness of solutions for ferromagnetic fluid flows are also derived. Rheological properties and heat transfer properties of ferromagnetic fluids are studied in the latter part of this dissertation. Using the model derived earlier, exact solutions are obtained for some traditional viscometric flows and the difference in the flow structure of a ferromagnetic fluid with that of a classical fluid is described. Effective viscosities of two parallel flows, two axisymmetric flows and a flow between eccentric disks are studied in order to illustrate the rheological characteristics of magnetic fluid flows. The results are then compared with the polar fluids in the appropriate limits. Transformation techniques for ferrohydrodynamics are introduced and the effectiveness of these techniques are illustrated by an example. The heat transfer problem is studied as an onset of Benard - Marangoni instability in a layer of ferromagnetic fluid between a free and flat upper boundary and a solid lower boundary. The complexity is enhanced due to the temperature dependence of the magnetization. A uniform vertical magnetic field is applied normal to the boundary. The combined effects of surface tension, gravity and magnetization on the system are studied, when a vertical temperature gradient is present. The effect of the magnetic properties of boundary plate material used is critically analyzed. A paramagnetic and a strongly ferromagnetic boundary are considered. Results are analyzed in order to find the conditions for which a specific force dominates the system. The physical properties of the various fluids that are studied are included as parameters which affect the system. These include: the Biot number, Rayleigh number, Marangoni number, magnetic Rayleigh number, magnetic susceptibility of the fluid and non-linearity of the material magnetization. The three mechanisms of surface tension, magnetization and buoyancy are seen to strongly depend on one another. A tight coupling, between these three mechanisms, is observed for low Biot numbers. It is seen that magnetic forces inhibit stability.Dept. of Economics, Mathematics, and Statistics. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis2000 .V36. Source: Dissertation Abstracts International, Volume: 67-02, Section: B, page: 0931. Thesis (Ph.D.)--University of Windsor (Canada), 2000.
Récupéré en direct depuis OpenAlex et désinversé. Les résumés ne sont pas conservés dans cette base de données : les index inversés représentent 8,6 Go des 9,3 Go de texte de la base, et le serveur dispose de 13 Go libres.
Comment cette classification a été obtenuedéplier
Prédiction distillée sur la base complète
Imitation des enseignantsNi prévalence calibrée, ni vérité terrain. Validation humaine à venir. Apprise à partir de 10 348 étiquettes directes de Codex et de 10 348 étiquettes directes de Gemma. Le mode candidate est l'union des têtes enseignantes seuillées; le consensus est leur intersection. Ces sorties portent le statut machine_predicted_unvalidated et ne sont ni des étiquettes humaines ni des étiquettes directes de modèles de pointe.
Scores Codex et Gemma par catégorie
| Catégorie | Codex | Gemma |
|---|---|---|
| Métarecherche | 0,000 | 0,000 |
| Méta-épidémiologie (sens strict) | 0,000 | 0,000 |
| Méta-épidémiologie (sens large) | 0,000 | 0,000 |
| Bibliométrie | 0,000 | 0,000 |
| Études des sciences et des technologies | 0,000 | 0,000 |
| Communication savante | 0,000 | 0,000 |
| Science ouverte | 0,000 | 0,000 |
| Intégrité de la recherche | 0,000 | 0,000 |
| Charge utile insuffisante (le modèle a refusé de juger) | 0,004 | 0,000 |
Scores machine (provisoires)
Les deux têtes enseignantes du modèle étudiant, lues sur ce travail. Un score ordonne la base pour la relecture; il n'affirme jamais une catégorie, et le statut de validation accompagne chaque rangée tel quel.
Scores de référence d'un modèle non mature (critères de maturité non atteints, 7 itérations). Un score ordonne; il n'affirme jamais une catégorie.
score_only:v0-immature-baseline · tel quel depuis la passe de notation : score_only signifie que le nombre peut ordonner les travaux, et qu'aucune étiquette de catégorie n'en découleClassification
machine, non validéePrédiction automatique; un appel candidat d’une seule tête enseignante, pas un consensus.
Le détail, modèle par modèle et score par score, se trouve en fin de page sous « Comment cette classification a été obtenue ».